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Nonlinear stability of extremal Reissner–Nordström black holes in spherical symmetry

Forum of Mathematics, Pi
In this paper, we prove the codimension-one nonlinear asymptotic stability of the extremal Reissner–Nordström family of black holes in the spherically symmetric Einstein–Maxwell-neutral scalar field model, up to and including the event horizon.
Yannis Angelopoulos, Christoph Kehle, Ryan Unger +2 more
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A Comprehensive Review of Golden Riemannian Manifolds

Axioms
In differential geometry, the concept of golden structure represents a compelling area with wide-ranging applications. The exploration of golden Riemannian manifolds was initiated by C. E. Hretcanu and M.
Bang-Yen Chen, Majid Ali Choudhary, Afshan Perween +2 more
doaj +1 more source

Invariant and Anti-Invariant Submanifolds of Generalized Sasakian Space Forms

Lobachevskii Journal of Mathematics
In this article, invariant and anti-invariant submanifolds of generalized Sasakian space forms are investigated. The important properties of such submanifolds are determined according to both Levi-Civita connection and semisymmetric metric connection.
Mert, T., Pandey, S., Atçeken, M., De, U.C. +3 more
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Tensor-invariants of submanifolds [PDF]